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Universal Families of Rational Tropical Curves

Published:2012-04-12
Printed: Feb 2013
• Georges Francois,
Fachbereich Mathematik, Technische Universität Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany
• Simon Hampe,
Fachbereich Mathematik, Technische Universität Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany
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Abstract

We introduce the notion of families of $n$-marked smooth rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classes of) these families and morphisms from smooth tropical varieties into the moduli space of $n$-marked abstract rational tropical curves $\mathcal{M}_{n}$.
 Keywords: tropical geometry, universal family, rational curves, moduli space
 MSC Classifications: 14T05 - Tropical geometry [See also 12K10, 14M25, 14N10, 52B20] 14D22 - Fine and coarse moduli spaces